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-0.0316826 0.125383 +EDGE3 1926 1927 -0.313683 6.38208 -0.050251 -0.0169743 0.0259984 0.0812736 +EDGE3 1927 1928 -0.477272 6.2889 -0.0326432 0.00185164 0.0239854 0.148875 +EDGE3 1928 1929 -0.457734 6.37111 -0.0477562 -0.0254784 -0.0154525 0.11644 +EDGE3 1929 1930 -0.50595 6.45736 -0.0867234 -0.0517454 -0.0307942 0.157101 +EDGE3 1930 1931 -0.647519 6.18865 -0.167554 0.0337091 0.00535225 0.131821 +EDGE3 1931 1932 -0.417839 6.3653 -0.191163 -0.0250263 0.0148571 0.131897 +EDGE3 1932 1933 -0.368519 6.39371 0.0628883 0.00944716 0.00232136 0.136309 +EDGE3 1933 1934 -0.407855 6.22758 -0.208137 -0.00569539 -0.00339384 0.152747 +EDGE3 1934 1935 -0.522082 6.06436 -0.00142494 -0.029872 -0.0185306 0.158903 +EDGE3 1935 1936 -0.549863 6.27677 -0.156211 -0.00563626 -0.0254933 0.143366 +EDGE3 1936 1937 -0.620376 6.10427 0.0152066 -0.00857525 -0.0180701 0.130078 +EDGE3 1937 1938 -0.470794 6.18691 0.0259853 0.00828865 0.0259791 0.130076 +EDGE3 1938 1939 -0.656877 6.23153 -0.100291 0.026037 0.0110495 0.0894652 +EDGE3 1939 1940 -0.635102 6.26215 -0.1812 0.0141179 0.00524722 0.124909 +EDGE3 1940 1941 -0.29092 6.22965 -0.0967064 -0.00883403 -0.019549 0.106338 +EDGE3 1941 1942 -0.589252 6.19792 0.0795378 0.00113142 0.00466372 0.159739 +EDGE3 1942 1943 -0.494553 6.07509 0.125068 0.0333908 0.0240146 0.068152 +EDGE3 1943 1944 -0.523077 6.14972 0.0384974 0.0279524 -0.0172954 0.119458 +EDGE3 1944 1945 -0.611566 6.08104 -0.037546 0.00407767 -0.0236275 0.11156 +EDGE3 1945 1946 -0.429217 6.02741 -0.180638 0.0141882 -0.00131638 0.181681 +EDGE3 1946 1947 -0.546358 6.22259 -0.0712174 -0.0239666 0.011451 0.115811 +EDGE3 1947 1948 -0.562523 6.13647 -0.0875678 -0.0105486 -0.00541187 0.122796 +EDGE3 1948 1949 -0.472512 6.15933 0.0987717 0.00384033 0.00405963 0.104676 +EDGE3 1949 1950 -0.475066 6.06233 -0.102596 0.0299962 0.0314837 0.0969954 +EDGE3 1950 1951 -0.511935 6.096 -0.220851 -0.0213939 -0.0033149 0.133139 +EDGE3 1951 1952 -0.381362 6.09181 0.0147118 0.0123153 0.0129928 0.116547 +EDGE3 1952 1953 -0.493175 6.04878 0.00131681 -0.0263127 -0.0282194 0.133053 +EDGE3 1953 1954 -0.47168 6.02958 -0.0846494 -0.0310142 -0.0065865 0.113841 +EDGE3 1954 1955 -0.275485 5.98738 0.0365826 0.0246277 0.0271227 0.124561 +EDGE3 1955 1956 -0.348478 5.86413 0.0151256 0.00602854 -0.0440739 0.0823114 +EDGE3 1956 1957 -0.584079 5.82886 -0.0905523 -0.0779055 -0.0115231 0.112895 +EDGE3 1957 1958 -0.510719 5.71333 0.0859423 0.0481265 -0.00488138 0.166338 +EDGE3 1958 1959 -0.433647 5.88994 -0.0425325 0.00630578 0.00902273 0.0885019 +EDGE3 1959 1960 -0.530816 5.86674 -0.0648881 -0.0063362 -0.0147436 0.129832 +EDGE3 1960 1961 -0.304594 5.77582 -0.113258 -0.0409613 0.00897089 0.135249 +EDGE3 1961 1962 -0.674556 5.83977 0.0558007 0.0200031 -0.0266717 0.104946 +EDGE3 1962 1963 -0.535759 5.90929 -0.040472 -0.0127562 -0.0306056 0.120575 +EDGE3 1963 1964 -0.217277 5.60784 -0.152631 0.0201969 -0.0422482 0.138303 +EDGE3 1964 1965 -0.543294 5.76971 0.091288 -0.0136055 0.0222789 0.143091 +EDGE3 1965 1966 -0.360085 5.80105 0.0883711 -0.0380865 0.0073375 0.102164 +EDGE3 1966 1967 -0.364984 5.81232 0.0157722 -0.0173888 0.0388329 0.0916746 +EDGE3 1967 1968 -0.486811 5.79092 -0.188699 0.012606 0.0375289 0.135605 +EDGE3 1968 1969 -0.464428 5.81241 -0.0374998 0.00117953 -0.00249678 0.132459 +EDGE3 1969 1970 -0.53232 5.52107 -0.0579246 -0.0457853 0.0192236 0.127546 +EDGE3 1970 1971 -0.390767 5.82101 -0.240988 0.00989655 0.000650397 0.140344 +EDGE3 1971 1972 -0.476969 5.77308 -0.00352681 0.00546006 0.00573579 0.133397 +EDGE3 1972 1973 -0.587015 5.76284 0.0642154 0.00948602 0.00942862 0.132311 +EDGE3 1973 1974 -0.585743 5.54748 -0.110048 0.0671397 -0.0149584 0.132186 +EDGE3 1974 1975 -0.428105 5.78837 -0.128039 -0.00878907 0.0170606 0.116039 +EDGE3 1975 1976 -0.52385 5.64427 -0.10341 -0.0367064 -0.0184896 0.146108 +EDGE3 1976 1977 -0.488289 5.50558 -0.326557 0.00112729 -0.0106616 0.0851344 +EDGE3 1977 1978 -0.482771 5.59547 0.0791137 0.0258674 0.0283043 0.120395 +EDGE3 1978 1979 -0.391061 5.71276 -0.0322463 -0.0414818 0.024244 0.139271 +EDGE3 1979 1980 -0.702794 5.62131 -0.176999 -0.0226085 -0.0162185 0.162242 +EDGE3 1980 1981 -0.4975 5.6404 0.199187 -0.0115058 0.0311392 0.124026 +EDGE3 1981 1982 -0.427967 5.61673 0.124204 -0.0177554 0.054869 0.0853869 +EDGE3 1982 1983 -0.410515 5.77818 0.0865397 0.00134919 0.0120908 0.124951 +EDGE3 1983 1984 -0.343418 5.69079 -0.208926 0.00737766 0.00820264 0.129788 +EDGE3 1984 1985 -0.524235 5.44817 -0.125203 0.0226284 0.0001204 0.100746 +EDGE3 1985 1986 -0.514837 5.45277 -0.0772258 -0.00204544 -0.0158974 0.0850198 +EDGE3 1986 1987 -0.401212 5.50711 -0.244434 0.0454171 0.0344975 0.134734 +EDGE3 1987 1988 -0.448047 5.60183 -0.0694431 0.0077945 0.00634264 0.114974 +EDGE3 1989 1990 -0.521532 5.51511 -0.203855 -0.0175875 -0.0356895 0.148315 +EDGE3 1988 1989 -0.447219 5.70468 -0.117758 -0.0254064 -0.0530245 0.103838 +EDGE3 1991 1992 -0.612525 5.37322 0.106326 -0.0349751 0.0235161 0.102388 +EDGE3 1990 1991 -0.526438 5.57083 -0.102111 -0.0259494 -0.0107402 0.101864 +EDGE3 1993 1994 -0.504727 5.32919 -0.0139626 -0.0265182 0.0154989 0.136552 +EDGE3 1992 1993 -0.366157 5.40521 -0.0683859 -0.0408997 0.0262 0.0864175 +EDGE3 1995 1996 -0.500908 5.36918 -0.00902292 0.00719876 -0.0325022 0.134315 +EDGE3 1994 1995 -0.515844 5.30031 -0.0592006 -0.00689442 -0.0143751 0.114798 +EDGE3 1997 1998 -0.583692 5.25541 -0.0275784 -0.00180304 -0.0030146 0.100445 +EDGE3 1996 1997 -0.34656 5.2351 -0.115611 0.049704 -0.0620094 0.111174 +EDGE3 1999 2000 -0.547622 5.28742 -0.0284439 0.00042945 0.010526 0.0914189 +EDGE3 1998 1999 -0.474041 5.5418 -0.145192 -0.0659393 0.00513539 0.125029 +EDGE3 2001 2002 -0.312809 5.23361 -0.044017 0.0287767 0.0156405 0.145694 +EDGE3 2000 2001 -0.572651 5.37553 -0.0311355 -0.0204672 -0.0165423 0.118667 +EDGE3 2003 2004 -0.46431 5.33129 0.162549 -0.041681 -0.00440007 0.109217 +EDGE3 2002 2003 -0.390939 5.2792 -0.0299605 0.0249188 0.00263654 0.0925308 +EDGE3 2005 2006 -0.599122 5.21584 -0.0843733 0.0220407 -0.00558616 0.122876 +EDGE3 2004 2005 -0.310875 5.31006 0.105366 0.00588317 -0.0475671 0.121278 +EDGE3 2007 2008 -0.606692 5.02984 0.0140732 -0.0333321 -0.0208616 0.146249 +EDGE3 2006 2007 -0.505119 5.31184 -0.00702885 0.0145621 0.0144722 0.121631 +EDGE3 2009 2010 -0.544477 5.11131 -0.0141051 0.00774711 0.0299208 0.148513 +EDGE3 2008 2009 -0.515179 5.17657 0.0106107 -0.0524172 0.0129831 0.135736 +EDGE3 2011 2012 -0.399633 5.14524 -0.118435 0.00562244 -0.00326332 0.100216 +EDGE3 2010 2011 -0.519642 5.05966 -0.137022 -0.0101053 -0.015811 0.122661 +EDGE3 2013 2014 -0.373308 5.21712 -0.0576836 -0.0147453 -0.0226989 0.120168 +EDGE3 2012 2013 -0.249265 4.96769 -0.125062 0.0115382 -0.00502312 0.139843 +EDGE3 2015 2016 -0.354819 5.14559 -0.0329543 0.0237119 -0.0426784 0.0853697 +EDGE3 2014 2015 -0.398446 5.09908 -0.112416 -0.0310785 -0.0146828 0.0966568 +EDGE3 2017 2018 -0.440011 5.24708 0.0875014 -0.00646356 -0.0276751 0.109471 +EDGE3 2016 2017 -0.416948 4.97894 -0.0427855 0.0201379 0.0183188 0.0877941 +EDGE3 2019 2020 -0.542174 5.01498 -0.24226 0.0191092 -0.0269399 0.10241 +EDGE3 2018 2019 -0.429374 5.18693 -0.104807 -0.0218478 0.0118937 0.0939241 +EDGE3 2021 2022 -0.433611 5.05696 0.0452068 0.0500272 0.00608865 0.150643 +EDGE3 2020 2021 -0.338687 4.89056 0.0779519 -0.0432755 -0.0424353 0.137962 +EDGE3 2023 2024 -0.580713 4.85174 -0.0214444 -0.00537442 0.0299923 0.0852498 +EDGE3 2022 2023 -0.329746 4.95757 -0.0850476 0.0356472 -0.0221145 0.142208 +EDGE3 2025 2026 -0.49215 5.0963 -0.0883497 0.000909229 -0.0241072 0.124497 +EDGE3 2024 2025 -0.475041 5.03223 -0.0614471 -0.00086757 0.00342266 0.119408 +EDGE3 2027 2028 -0.42349 5.09462 -0.0390856 -0.0112489 0.050239 0.143096 +EDGE3 2026 2027 -0.507461 5.09471 0.0658235 0.0113328 0.00183257 0.102365 +EDGE3 2029 2030 -0.583709 4.91967 -0.110588 -0.0552586 -0.0124483 0.133408 +EDGE3 2028 2029 -0.318981 4.76875 -0.00648015 0.00477891 0.0324749 0.0966385 +EDGE3 2031 2032 -0.260634 4.79268 -0.0325196 0.0184041 0.024755 0.142562 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-3.41401 0.00550606 0.0087008 -0.00582172 +EDGE3 1867 1918 -5.7716 6.4749 -3.49017 -0.00930914 0.000555756 0.125922 +EDGE3 1868 1917 -5.57969 -6.48561 -3.34975 -0.00698191 -0.0044222 -0.132387 +EDGE3 1869 1919 -5.29277 -0.0136755 -3.41526 0.00207453 0.00400624 -0.00583018 +EDGE3 1868 1919 -5.79274 6.45672 -3.49303 -0.00540824 -0.0103684 0.129757 +EDGE3 1869 1918 -5.57228 -6.47328 -3.32796 -0.00881996 -0.00335636 -0.120297 +EDGE3 1870 1920 -5.28728 0.00328401 -3.38105 -0.00361681 0.00130894 -0.00400956 +EDGE3 1869 1920 -5.80512 6.43933 -3.46979 0.00870172 0.00683248 0.12871 +EDGE3 1870 1919 -5.5975 -6.47069 -3.34495 -0.00497276 -0.00156028 -0.121443 +EDGE3 1871 1921 -5.26175 0.00680745 -3.38121 -0.0064361 3.41879e-05 0.00694569 +EDGE3 1870 1921 -5.78615 6.44626 -3.47955 -0.00616073 0.00516728 0.129516 +EDGE3 1871 1920 -5.58841 -6.45249 -3.30494 -0.00261774 -0.00355625 -0.126504 +EDGE3 1872 1922 -5.3031 0.00467001 -3.37482 0.00446262 0.00672643 -0.00653805 +EDGE3 1871 1922 -5.78552 6.42387 -3.44719 0.00639153 -0.000512289 0.120192 +EDGE3 1872 1921 -5.58702 -6.44166 -3.32471 -0.00179406 -0.00194478 -0.123637 +EDGE3 1873 1923 -5.30883 0.0103124 -3.36053 0.00337579 -0.00301483 0.00144519 +EDGE3 1872 1923 -5.80598 6.40773 -3.45752 0.00263373 -0.00111141 0.128788 +EDGE3 1873 1922 -5.58176 -6.41815 -3.30883 0.00270731 -0.00569288 -0.124409 +EDGE3 1874 1924 -5.2837 -0.00793459 -3.35649 -0.00149375 -0.00818643 -6.70774e-05 +EDGE3 1873 1924 -5.79841 6.39653 -3.45627 -0.0036596 0.00269822 0.121319 +EDGE3 1874 1923 -5.58129 -6.40258 -3.31529 0.0039288 -0.00182464 -0.127105 +EDGE3 1875 1925 -5.31893 -0.00955089 -3.36933 0.000646228 -0.0049979 0.00289322 +EDGE3 1874 1925 -5.80502 6.40053 -3.42968 0.00225727 -0.00166103 0.136251 +EDGE3 1875 1924 -5.60889 -6.40082 -3.28398 0.0068033 -0.0114332 -0.117295 +EDGE3 1876 1926 -5.29092 0.00384964 -3.35334 0.00352746 -0.00260534 -0.00171604 +EDGE3 1875 1926 -5.81785 6.36343 -3.43491 0.0104818 0.00745003 0.127596 +EDGE3 1877 1927 -5.31817 -0.00701177 -3.34764 -0.00654147 0.00101238 -0.00180559 +EDGE3 1876 1925 -5.61908 -6.38953 -3.2925 0.0079494 -0.00333023 -0.134583 +EDGE3 1876 1927 -5.80711 6.35809 -3.41266 0.00314591 0.00213415 0.124744 +EDGE3 1877 1926 -5.60443 -6.36522 -3.28619 0.000509374 -0.0141503 -0.125705 +EDGE3 1878 1928 -5.32146 0.00114493 -3.36044 0.00471224 -0.000932439 -0.00253407 +EDGE3 1877 1928 -5.81012 6.34433 -3.41912 0.000429312 -0.00331361 0.131045 +EDGE3 1878 1927 -5.62879 -6.33611 -3.2787 0.00194759 -0.00608617 -0.124952 +EDGE3 1879 1929 -5.30061 0.00434193 -3.34086 -0.00311293 0.00926704 0.00398527 +EDGE3 1878 1929 -5.83173 6.31906 -3.38828 0.00133753 0.00265985 0.119534 +EDGE3 1879 1928 -5.6017 -6.34623 -3.26147 -0.00601599 -0.0056844 -0.122325 +EDGE3 1880 1930 -5.33595 0.00510348 -3.33204 -0.00615293 -0.00363009 -0.00124265 +EDGE3 1879 1930 -5.8464 6.3125 -3.39884 -0.00748567 -0.00479524 0.122864 +EDGE3 1880 1929 -5.6204 -6.322 -3.29004 -0.00737452 0.000543084 -0.127591 +EDGE3 1881 1931 -5.32376 0.0188107 -3.32871 0.00226888 0.00114298 -0.000860421 +EDGE3 1880 1931 -5.84215 6.28429 -3.38561 -0.00635031 0.000640743 0.123886 +EDGE3 1881 1930 -5.60928 -6.31502 -3.26762 0.00474297 0.00362334 -0.12711 +EDGE3 1882 1932 -5.34941 -0.0145751 -3.32067 -0.00551713 -0.00506063 -0.00713923 +EDGE3 1881 1932 -5.83336 6.28296 -3.40341 0.00217309 -0.0117383 0.118477 +EDGE3 1882 1931 -5.62262 -6.31396 -3.26203 0.000644942 -0.000389022 -0.116143 +EDGE3 1883 1933 -5.33678 -0.00176256 -3.30723 -0.008553 -0.000814676 -0.00253509 +EDGE3 1882 1933 -5.83333 6.27239 -3.37095 -0.00195533 0.0110726 0.121232 +EDGE3 1884 1934 -5.33191 -0.0135106 -3.29591 -0.000979606 -0.0083674 -0.000716074 +EDGE3 1883 1932 -5.62804 -6.27797 -3.25187 0.00240717 -0.00374037 -0.116508 +EDGE3 1883 1934 -5.85036 6.24668 -3.38002 0.00563628 0.00751899 0.124951 +EDGE3 1884 1933 -5.63223 -6.27262 -3.21787 -0.00632356 0.00639955 -0.121825 +EDGE3 1885 1935 -5.3417 0.000777446 -3.30502 -0.00283064 -0.00411176 0.00309049 +EDGE3 1884 1935 -5.83889 6.2415 -3.36858 0.00738546 0.00258514 0.121209 +EDGE3 1885 1934 -5.64838 -6.27245 -3.25528 0.000167137 0.00424364 -0.132344 +EDGE3 1886 1936 -5.34165 0.0129769 -3.28782 -0.00222081 -0.000199987 0.00869588 +EDGE3 1885 1936 -5.8471 6.24331 -3.35897 0.00645663 -0.000276771 0.126907 +EDGE3 1886 1935 -5.63422 -6.24597 -3.23288 -0.00164495 -0.000206825 -0.124356 +EDGE3 1887 1937 -5.3496 -0.00336737 -3.29753 0.00189651 -0.00379822 -0.00169804 +EDGE3 1886 1937 -5.84256 6.22436 -3.35095 0.00211102 -0.00436196 0.121722 +EDGE3 1888 1938 -5.35685 0.00872093 -3.28596 0.00318347 -0.0013277 0.00622994 +EDGE3 1887 1936 -5.6312 -6.23387 -3.21444 0.00798513 -0.000410798 -0.130586 +EDGE3 1887 1938 -5.85449 6.20253 -3.34263 -0.00654313 -0.00814656 0.128688 +EDGE3 1888 1937 -5.64048 -6.22007 -3.22368 0.00135903 -0.00901814 -0.118991 +EDGE3 1889 1939 -5.34808 0.01118 -3.28136 -0.00532863 0.00238961 -0.000422936 +EDGE3 1888 1939 -5.85263 6.19161 -3.33252 -0.0055176 0.00221429 0.12737 +EDGE3 1889 1938 -5.64984 -6.19307 -3.21376 0.00183303 -0.00254312 -0.126056 +EDGE3 1890 1940 -5.36943 -0.0179558 -3.2711 0.00212436 0.000554887 -0.00313354 +EDGE3 1889 1940 -5.86675 6.17547 -3.33117 0.00190882 -0.0012467 0.124803 +EDGE3 1890 1939 -5.65898 -6.1785 -3.18345 -0.000415469 0.00603812 -0.122632 +EDGE3 1891 1941 -5.36203 0.00421967 -3.26074 0.00305489 -0.00262201 -0.00121929 +EDGE3 1890 1941 -5.85405 6.15938 -3.31977 0.00346342 -0.00107154 0.125635 +EDGE3 1891 1940 -5.63669 -6.19038 -3.1908 0.00373237 0.0015159 -0.12711 +EDGE3 1892 1942 -5.36357 0.00160392 -3.27006 -0.00708724 0.00393476 -0.00414916 +EDGE3 1891 1942 -5.87015 6.16503 -3.30907 0.0018498 0.000423082 0.127875 +EDGE3 1892 1941 -5.6386 -6.1559 -3.18604 0.00219947 -0.00485354 -0.119984 +EDGE3 1893 1943 -5.35773 -0.0038269 -3.25575 -0.00235348 0.000834121 0.00152251 +EDGE3 1892 1943 -5.87439 6.13316 -3.30729 -0.000247705 -0.000988456 0.125336 +EDGE3 1893 1942 -5.64967 -6.16036 -3.19567 0.00188488 0.000852968 -0.125223 +EDGE3 1894 1944 -5.37145 -0.0092327 -3.24162 0.000189917 0.00433797 0.00365577 +EDGE3 1893 1944 -5.8763 6.11825 -3.30746 -0.000117102 0.00196663 0.130015 +EDGE3 1894 1943 -5.66446 -6.14086 -3.16173 -0.00212123 0.000973495 -0.129907 +EDGE3 1895 1945 -5.38967 0.0037349 -3.22818 0.0116071 0.000677882 -0.00259782 +EDGE3 1894 1945 -5.88192 6.11668 -3.28301 -0.00144359 0.00372206 0.121672 +EDGE3 1895 1944 -5.6635 -6.10784 -3.16296 0.00731365 0.0017216 -0.12533 +EDGE3 1896 1946 -5.39573 0.00657945 -3.22439 0.000317883 -0.00183642 0.000368526 +EDGE3 1895 1946 -5.86667 6.09899 -3.29684 -0.000263134 -0.0015017 0.12179 +EDGE3 1896 1945 -5.67412 -6.08366 -3.16545 0.0052457 0.00250773 -0.121947 +EDGE3 1897 1947 -5.39357 0.00283829 -3.24237 -0.00228744 0.000173388 -0.00512873 +EDGE3 1896 1947 -5.87511 6.08954 -3.29632 0.00478532 0.00304064 0.135981 +EDGE3 1897 1946 -5.65847 -6.08136 -3.16787 0.000409056 0.00413764 -0.125668 +EDGE3 1898 1948 -5.3819 0.00821504 -3.18909 -0.000252837 0.00906003 -0.000641906 +EDGE3 1897 1948 -5.88923 6.05664 -3.2788 -0.00104689 -0.0095697 0.12056 +EDGE3 1898 1947 -5.65132 -6.06553 -3.15595 -0.0055003 -0.000760796 -0.12838 +EDGE3 1898 1949 -5.8924 6.0315 -3.28629 0.00283168 0.00015285 0.127207 +EDGE3 1899 1949 -5.41409 0.004899 -3.18113 -0.0128026 0.00242451 -0.00301246 +EDGE3 1900 1950 -5.40555 0.00449769 -3.19031 -0.000773293 0.0085803 -0.000855349 +EDGE3 1899 1948 -5.69256 -6.07514 -3.13826 -0.00385793 4.38254e-06 -0.126257 +EDGE3 1899 1950 -5.88508 6.03227 -3.26025 0.0021558 -0.000973312 0.122006 +EDGE3 1900 1949 -5.66991 -6.05268 -3.13665 0.000980291 0.000524749 -0.115893 +EDGE3 1901 1951 -5.41686 -0.00564788 -3.20732 -0.00363837 -0.00610922 -0.000700343 +EDGE3 1900 1951 -5.89034 6.02068 -3.25921 0.00998144 0.0066982 0.119863 +EDGE3 1901 1950 -5.68476 -6.04687 -3.11809 -0.00232885 -0.00152281 -0.118596 +EDGE3 1902 1952 -5.43038 -0.00833196 -3.19583 -0.00703495 -0.00572986 0.00186532 +EDGE3 1901 1952 -5.88789 6.01479 -3.23085 -0.00535047 -0.0103298 0.121357 +EDGE3 1902 1951 -5.6708 -6.03229 -3.11827 -0.000596574 -0.00443279 -0.134258 +EDGE3 1903 1953 -5.42626 0.00738079 -3.17987 0.00709033 0.00365837 -0.00206977 +EDGE3 1902 1953 -5.89223 5.98688 -3.25339 -0.00229023 0.00156955 0.128186 +EDGE3 1903 1952 -5.68034 -6.02174 -3.1325 0.00753471 -0.000517762 -0.126598 +EDGE3 1904 1954 -5.42408 0.0199544 -3.16109 -0.00149456 -0.00244919 0.00214676 +EDGE3 1903 1954 -5.90704 5.9817 -3.2394 -0.0106598 0.00431322 0.125747 +EDGE3 1904 1953 -5.70119 -5.98925 -3.11563 -0.00611544 -0.0017025 -0.127205 +EDGE3 1905 1955 -5.4262 -0.00225865 -3.17554 -0.00220082 0.00670061 -0.00840319 +EDGE3 1904 1955 -5.9073 5.96329 -3.24276 -0.00635743 -0.00742364 0.121181 +EDGE3 1905 1954 -5.67821 -5.98115 -3.11112 -0.00418176 0.00724216 -0.123352 +EDGE3 1906 1956 -5.43128 0.00871152 -3.15222 -0.0045412 -0.0023397 0.00332764 +EDGE3 1905 1956 -5.90631 5.94665 -3.23051 -0.00299968 -0.00395425 0.123487 +EDGE3 1906 1955 -5.69797 -5.96699 -3.09568 -0.00650241 -0.00756336 -0.131506 +EDGE3 1907 1957 -5.41931 -0.00557384 -3.1389 -0.0127214 0.00485097 -0.00732458 +EDGE3 1906 1957 -5.91347 5.95343 -3.22571 0.00138954 -0.00508784 0.122327 +EDGE3 1907 1956 -5.69957 -5.9499 -3.07238 0.0050695 -0.0027827 -0.134899 +EDGE3 1908 1958 -5.45633 0.0119737 -3.16457 0.0181138 0.00275565 -0.0032894 +EDGE3 1907 1958 -5.91871 5.92302 -3.20011 -0.00220222 -0.000995355 0.128028 +EDGE3 1908 1957 -5.70374 -5.93753 -3.09047 0.00433953 0.00191999 -0.112961 +EDGE3 1909 1959 -5.43794 0.00255173 -3.12671 0.00169914 0.00327618 0.00143381 +EDGE3 1908 1959 -5.91487 5.90552 -3.21657 -0.0019754 0.00129584 0.129298 +EDGE3 1909 1958 -5.70787 -5.93481 -3.07223 0.00896748 -0.00820647 -0.13072 +EDGE3 1910 1960 -5.45253 0.00299423 -3.12474 0.00722001 0.00176273 -0.00083542 +EDGE3 1909 1960 -5.92128 5.90153 -3.21425 0.00767992 -0.00274562 0.128302 +EDGE3 1910 1959 -5.70742 -5.91613 -3.06455 0.00616479 -0.00631238 -0.12793 +EDGE3 1911 1961 -5.44458 -0.00107663 -3.142 -0.00786885 0.00688707 0.00658756 +EDGE3 1910 1961 -5.93376 5.88349 -3.17342 0.0111102 0.00311372 0.12621 +EDGE3 1911 1960 -5.72226 -5.90948 -3.06114 0.0110804 -0.000140461 -0.123374 +EDGE3 1912 1962 -5.45094 -0.00970238 -3.12651 -0.011332 -0.00322675 -0.00543351 +EDGE3 1911 1962 -5.90333 5.87903 -3.17783 0.00807875 0.0014455 0.133496 +EDGE3 1912 1961 -5.7152 -5.90113 -3.05341 -0.000771196 0.00342868 -0.127841 +EDGE3 1913 1963 -5.45458 -0.0108798 -3.11279 -0.00207864 0.0010523 0.00111623 +EDGE3 1912 1963 -5.92005 5.85179 -3.18131 -0.000944133 -0.000473549 0.1245 +EDGE3 1913 1962 -5.71749 -5.87549 -3.04925 0.0152772 -0.00274506 -0.126617 +EDGE3 1914 1964 -5.45486 0.0139235 -3.09703 0.00791159 -0.00682328 -0.00499117 +EDGE3 1913 1964 -5.92801 5.84591 -3.16384 -0.0028415 0.00221034 0.122493 +EDGE3 1914 1963 -5.7099 -5.86629 -3.03149 -0.00664256 -0.00755185 -0.124237 +EDGE3 1915 1965 -5.45465 -0.00518927 -3.09157 0.00402723 0.00513008 0.000818003 +EDGE3 1914 1965 -5.9486 5.81957 -3.16872 0.00816466 -0.000146956 0.12543 +EDGE3 1915 1964 -5.73817 -5.84353 -3.04801 0.00321765 0.00421407 -0.126767 +EDGE3 1916 1966 -5.46059 -0.00275226 -3.07958 -0.0134542 0.00801459 -0.0060315 +EDGE3 1915 1966 -5.93285 5.83272 -3.14942 0.0107932 0.00480811 0.121129 +EDGE3 1916 1965 -5.7283 -5.83024 -3.0416 -0.00678177 0.000375403 -0.123407 +EDGE3 1917 1967 -5.47525 0.00102524 -3.08743 0.00147318 8.50273e-05 0.00990075 +EDGE3 1916 1967 -5.95191 5.80714 -3.15122 -0.00863514 0.00559517 0.138128 +EDGE3 1917 1966 -5.73631 -5.82201 -3.01779 0.00481043 -0.0105813 -0.138089 +EDGE3 1918 1968 -5.46687 0.0129975 -3.0764 0.00112787 0.00416425 -0.00597787 +EDGE3 1917 1968 -5.93639 5.79409 -3.12968 0.000345783 0.0037258 0.12408 +EDGE3 1918 1967 -5.7103 -5.81196 -3.0143 0.0013524 -0.00193262 -0.133577 +EDGE3 1919 1969 -5.47851 0.00531679 -3.08727 -0.00115575 0.00299742 -0.00741325 +EDGE3 1918 1969 -5.94807 5.79671 -3.12893 0.00132322 0.00553222 0.119934 +EDGE3 1919 1968 -5.75164 -5.78267 -3.00684 -0.00500797 0.00385851 -0.128026 +EDGE3 1920 1970 -5.51027 0.00290657 -3.06881 0.00177696 -0.00481297 -0.00188406 +EDGE3 1919 1970 -5.95473 5.75885 -3.10824 -0.00776289 0.00768938 0.130911 +EDGE3 1920 1969 -5.74765 -5.78063 -3.00592 0.000494625 0.00218535 -0.118755 +EDGE3 1921 1971 -5.48623 0.0127142 -3.05473 -0.000712989 0.00595857 0.00520224 +EDGE3 1920 1971 -5.96173 5.74132 -3.12812 0.00672913 0.00156664 0.126894 +EDGE3 1921 1970 -5.74785 -5.75423 -2.9902 -0.00442636 0.00591841 -0.124254 +EDGE3 1922 1972 -5.47486 -0.00957271 -3.03015 0.00575038 0.00956175 0.00901711 +EDGE3 1921 1972 -5.96861 5.7276 -3.10775 0.00677739 -0.00107328 0.119132 +EDGE3 1922 1971 -5.75517 -5.75839 -2.99568 -0.00219476 0.00199698 -0.127549 +EDGE3 1923 1973 -5.505 -0.00324469 -3.04968 0.00360502 -0.00987679 -0.00702848 +EDGE3 1922 1973 -5.96631 5.73624 -3.10643 -0.0020861 -0.00207337 0.132013 +EDGE3 1923 1972 -5.74023 -5.71548 -2.99698 0.00335579 0.00137074 -0.124558 +EDGE3 1924 1974 -5.51265 0.00504605 -3.03273 0.00297301 0.000267571 -0.00238564 +EDGE3 1923 1974 -5.96351 5.71065 -3.11396 0.00538354 -0.00737199 0.124121 +EDGE3 1924 1973 -5.7536 -5.71326 -2.96847 0.00353678 0.0102409 -0.129999 +EDGE3 1925 1975 -5.49935 0.00976312 -3.04737 -3.64189e-05 0.00117017 -0.000540121 +EDGE3 1924 1975 -5.97896 5.67893 -3.09727 -0.0037038 0.00462302 0.124485 +EDGE3 1925 1974 -5.7542 -5.70214 -2.96842 0.0102969 0.00325885 -0.125939 +EDGE3 1926 1976 -5.51296 0.0058147 -3.02713 0.000238775 -0.000365179 -0.00342774 +EDGE3 1925 1976 -5.96709 5.67253 -3.08881 -0.00493901 -0.0139938 0.129311 +EDGE3 1926 1975 -5.73122 -5.6896 -2.97701 0.00409519 0.000105824 -0.134319 +EDGE3 1927 1977 -5.53409 0.00925834 -3.01108 -0.00234978 -0.00809264 -0.00670391 +EDGE3 1926 1977 -5.98768 5.66112 -3.07957 0.00207868 -0.00428169 0.118597 +EDGE3 1927 1976 -5.76025 -5.66852 -2.9705 0.00425601 -0.00519793 -0.124708 +EDGE3 1928 1978 -5.49545 -0.0113442 -2.97665 0.00347308 0.000693838 -0.00418668 +EDGE3 1927 1978 -5.95456 5.6351 -3.06152 -0.00627341 0.000832713 0.130825 +EDGE3 1928 1977 -5.74925 -5.6621 -2.93415 -0.00152813 -0.00691283 -0.122927 +EDGE3 1929 1979 -5.52943 0.0037856 -3.00264 -0.0031097 -0.00164873 -0.000470783 +EDGE3 1928 1979 -5.99905 5.64829 -3.0759 -0.0013635 0.00264902 0.112056 +EDGE3 1929 1978 -5.7643 -5.63266 -2.94203 0.00087833 0.00022573 -0.128858 +EDGE3 1930 1980 -5.52834 0.00646121 -2.99251 -0.00105196 -0.00491989 0.00375517 +EDGE3 1929 1980 -5.98436 5.61263 -3.06471 -0.00595355 -0.00497491 0.133621 +EDGE3 1930 1979 -5.77351 -5.65358 -2.94399 0.011942 0.00784394 -0.12568 +EDGE3 1931 1981 -5.53466 0.0108668 -2.98951 0.00335638 -0.00151867 0.00626584 +EDGE3 1930 1981 -5.97143 5.61538 -3.05299 -0.00268779 0.00806028 0.12164 +EDGE3 1931 1980 -5.76763 -5.60878 -2.92867 -0.000692859 0.00759049 -0.130414 +EDGE3 1932 1982 -5.54389 0.0158913 -2.97691 -0.00275903 -0.0020458 0.00791519 +EDGE3 1931 1982 -5.98414 5.61229 -3.04283 -0.00778799 0.0019244 0.126726 +EDGE3 1932 1981 -5.7656 -5.60498 -2.90806 -0.00058178 -7.96522e-05 -0.117146 +EDGE3 1933 1983 -5.52911 0.00249384 -2.9692 0.00255532 0.00426569 0.0105989 +EDGE3 1932 1983 -5.99046 5.57183 -3.04143 0.0114317 0.00166349 0.12025 +EDGE3 1933 1982 -5.78678 -5.60859 -2.91803 -0.00619448 0.000866437 -0.118936 +EDGE3 1934 1984 -5.5434 0.0080529 -2.96469 -0.00153978 0.00478685 -0.00970984 +EDGE3 1933 1984 -6.0028 5.56902 -3.02333 -0.0102068 0.00696758 0.12744 +EDGE3 1934 1983 -5.77199 -5.58286 -2.91125 -0.00257946 0.00054549 -0.126268 +EDGE3 1935 1985 -5.55857 -0.00577557 -2.96556 0.00483907 -0.00353712 -0.000410494 +EDGE3 1934 1985 -6.00934 5.53947 -3.01819 -0.00800605 0.00262047 0.128033 +EDGE3 1935 1984 -5.79441 -5.57675 -2.90252 -0.00133558 -0.000237224 -0.131593 +EDGE3 1936 1986 -5.54686 0.0023144 -2.94801 0.00597871 3.93326e-05 0.00112469 +EDGE3 1935 1986 -6.0051 5.54155 -3.00839 -0.00116882 -0.00665964 0.130864 +EDGE3 1936 1985 -5.78159 -5.54734 -2.89328 0.00478137 -0.00117958 -0.130937 +EDGE3 1937 1987 -5.54665 -0.011941 -2.92994 -0.00724633 -0.00108401 -0.0052027 +EDGE3 1936 1987 -6.01735 5.52662 -3.00387 0.00842214 0.00210134 0.116253 +EDGE3 1937 1986 -5.77099 -5.53528 -2.8886 0.000346885 0.00526133 -0.124321 +EDGE3 1938 1988 -5.56683 -0.00291494 -2.9358 -0.000712875 -0.00129538 -0.000686411 +EDGE3 1937 1988 -6.01441 5.51297 -3.00172 0.00520635 0.00497543 0.129399 +EDGE3 1938 1987 -5.79441 -5.50623 -2.88102 -0.0047978 -0.00417152 -0.134286 +EDGE3 1939 1989 -5.55124 -0.0158818 -2.93374 0.000801164 -0.00105943 -0.00579888 +EDGE3 1938 1989 -6.0063 5.50203 -2.98735 -0.0063503 0.00427412 0.114408 +EDGE3 1939 1988 -5.79818 -5.52221 -2.88128 0.00701604 -0.00536374 -0.112867 +EDGE3 1940 1990 -5.57132 0.0116076 -2.92598 0.00380591 -0.00131419 0.00322591 +EDGE3 1939 1990 -6.00843 5.47458 -2.98888 -0.000492734 0.00235777 0.126978 +EDGE3 1940 1989 -5.78457 -5.49092 -2.88974 0.000228448 0.00680623 -0.126548 +EDGE3 1941 1991 -5.56991 -0.00558997 -2.89809 0.00242658 0.00931747 0.00204082 +EDGE3 1940 1991 -5.99684 5.45655 -2.98526 -0.00137462 -0.00527492 0.131652 +EDGE3 1941 1990 -5.79629 -5.47263 -2.85105 0.00595228 -0.00142078 -0.12293 +EDGE3 1942 1992 -5.59152 -0.0212325 -2.90127 -0.00540962 0.00597246 0.00312764 +EDGE3 1941 1992 -6.02367 5.44705 -2.98275 0.00135644 0.00170721 0.122284 +EDGE3 1942 1991 -5.79717 -5.44616 -2.8524 0.00486424 0.00873439 -0.1335 +EDGE3 1943 1993 -5.5772 -0.010063 -2.88379 -0.00103114 -0.00478939 -0.00587242 +EDGE3 1942 1993 -6.01119 5.43886 -2.97587 -0.00725017 -0.00319134 0.126522 +EDGE3 1943 1992 -5.79927 -5.47078 -2.83014 0.00352528 0.00413822 -0.125509 +EDGE3 1944 1994 -5.57365 0.000848455 -2.88549 -0.001073 0.00572914 -0.0008407 +EDGE3 1943 1994 -6.02653 5.41374 -2.9452 -0.000383602 -0.00795551 0.12434 +EDGE3 1944 1993 -5.80088 -5.41726 -2.85127 0.0114619 -0.00490873 -0.125047 +EDGE3 1945 1995 -5.58552 0.00101109 -2.90024 -0.00814831 0.0039062 -0.00378408 +EDGE3 1944 1995 -6.01961 5.40448 -2.95355 0.00527659 0.00264058 0.13221 +EDGE3 1945 1994 -5.7977 -5.4279 -2.85378 -0.0101286 0.00276164 -0.123742 +EDGE3 1946 1996 -5.57451 -0.00145722 -2.8682 0.00169367 -0.0146546 -0.00380074 +EDGE3 1945 1996 -6.03607 5.38742 -2.9358 0.00149363 -0.00246134 0.129947 +EDGE3 1946 1995 -5.80325 -5.41852 -2.81974 0.0107271 -0.00925749 -0.122772 +EDGE3 1947 1997 -5.59283 -0.0117238 -2.87841 -0.000609928 -0.00221692 0.00111616 +EDGE3 1946 1997 -6.03117 5.36613 -2.93584 0.00889473 0.00301499 0.122241 +EDGE3 1947 1996 -5.80672 -5.37803 -2.83131 -0.0062877 -0.0032303 -0.126607 +EDGE3 1948 1998 -5.58457 -0.00119354 -2.87158 -0.00559931 -0.00844645 -0.00423722 +EDGE3 1947 1998 -6.03402 5.37986 -2.93836 -0.00682208 -0.00144857 0.11827 +EDGE3 1948 1997 -5.82088 -5.38313 -2.80311 0.000691188 0.00215266 -0.122895 +EDGE3 1949 1999 -5.59071 0.00667578 -2.86478 8.55629e-05 0.00595285 -0.0049736 +EDGE3 1948 1999 -6.02021 5.33921 -2.92573 -0.00142202 -0.00573423 0.127055 +EDGE3 1949 1998 -5.81159 -5.35273 -2.80336 0.000684082 0.0035971 -0.121843 +EDGE3 1950 2000 -5.59575 -0.00419579 -2.86647 -0.00277985 0.0104589 -0.00212302 +EDGE3 1949 2000 -6.0742 5.32421 -2.89755 0.0123511 0.00706643 0.125618 +EDGE3 1950 1999 -5.81671 -5.34966 -2.79616 0.00230823 -0.00228506 -0.126171 +EDGE3 1951 2001 -5.60296 -0.00817804 -2.8594 0.000276944 -0.000886763 0.0110153 +EDGE3 1950 2001 -6.05539 5.32921 -2.90149 -0.00189942 -0.00572901 0.119612 +EDGE3 1951 2000 -5.81911 -5.34241 -2.79742 -0.000302118 0.00617901 -0.122047 +EDGE3 1952 2002 -5.61285 0.00273397 -2.85226 -0.00131322 0.00654866 0.00451317 +EDGE3 1951 2002 -6.04454 5.31233 -2.90912 -0.00676358 -0.00176541 0.123367 +EDGE3 1952 2001 -5.81987 -5.29939 -2.7974 0.00237527 0.0029512 -0.127436 +EDGE3 1953 2003 -5.61281 0.0173624 -2.83283 -0.00821729 0.00231243 -0.00198992 +EDGE3 1952 2003 -6.0442 5.28225 -2.88559 0.00479039 -0.00290219 0.12475 +EDGE3 1953 2002 -5.84024 -5.31216 -2.76189 0.00841298 -0.00132699 -0.12934 +EDGE3 1954 2004 -5.60898 -0.00274502 -2.8168 -0.00367854 -0.00114419 0.00228453 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0.124371 +EDGE3 1958 2007 -5.83188 -5.21839 -2.74016 -0.00317899 0.00187072 -0.12843 +EDGE3 1959 2009 -5.6453 0.00740263 -2.78745 0.00713127 0.00674665 0.00755264 +EDGE3 1958 2009 -6.06069 5.20371 -2.84382 0.00427806 -0.00211225 0.120322 +EDGE3 1959 2008 -5.82827 -5.22266 -2.74746 0.00499369 0.00577802 -0.115161 +EDGE3 1960 2010 -5.64157 0.0181014 -2.78037 -0.00184412 -0.00143602 -0.00150876 +EDGE3 1959 2010 -6.07768 5.19253 -2.83891 -0.00825649 -0.00219315 0.130249 +EDGE3 1960 2009 -5.84075 -5.21011 -2.71681 0.00608648 0.00230065 -0.13551 +EDGE3 1961 2011 -5.62202 0.00423525 -2.7681 0.00262469 -0.00404198 0.0140314 +EDGE3 1960 2011 -6.07257 5.18361 -2.82335 0.00486628 0.0103289 0.123439 +EDGE3 1961 2010 -5.85159 -5.20161 -2.70799 0.00840214 2.97394e-05 -0.139751 +EDGE3 1962 2012 -5.63987 0.00177652 -2.77025 0.00348143 -0.00461863 0.00311556 +EDGE3 1961 2012 -6.0871 5.15877 -2.80454 -0.000799931 0.00151283 0.128089 +EDGE3 1962 2011 -5.84812 -5.17487 -2.72569 -0.00881248 -0.0052736 -0.120447 +EDGE3 1963 2013 -5.63908 0.00053293 -2.75841 0.000588165 0.00402461 0.00584897 +EDGE3 1962 2013 -6.0823 5.15393 -2.81107 -0.00543668 0.00423426 0.127617 +EDGE3 1963 2012 -5.85326 -5.15448 -2.6814 0.00442265 -0.00197515 -0.129062 +EDGE3 1964 2014 -5.65934 0.00807446 -2.75546 -0.00137949 0.00875705 0.00398367 +EDGE3 1963 2014 -6.08205 5.12148 -2.8239 -0.000365711 -0.000260473 0.136815 +EDGE3 1965 2015 -5.65678 -0.0146728 -2.73639 -0.00254799 -0.0048732 0.00479912 +EDGE3 1964 2013 -5.85473 -5.14415 -2.70807 0.00722985 0.00339841 -0.123566 +EDGE3 1964 2015 -6.07785 5.12658 -2.79758 -0.00139057 -0.0034229 0.12108 +EDGE3 1965 2014 -5.85575 -5.12004 -2.68467 -0.0164985 0.0066618 -0.1217 +EDGE3 1966 2016 -5.65072 0.0169404 -2.72819 -0.00259626 0.00257382 0.00128452 +EDGE3 1965 2016 -6.08283 5.10486 -2.80138 -8.07433e-05 -0.00398571 0.128943 +EDGE3 1966 2015 -5.85844 -5.11895 -2.70445 0.00431656 0.00286175 -0.137684 +EDGE3 1967 2017 -5.64567 -0.00431639 -2.72747 -0.00299496 0.0081383 -0.00585009 +EDGE3 1966 2017 -6.08822 5.07109 -2.79196 0.00349544 0.00207464 0.134647 +EDGE3 1967 2016 -5.86688 -5.11326 -2.6985 0.00429477 -0.00591933 -0.128054 +EDGE3 1968 2018 -5.65801 0.0206301 -2.73953 -0.00527999 -0.000269626 -0.00189452 +EDGE3 1967 2018 -6.10321 5.06804 -2.78564 -0.000658319 0.00024317 0.123474 +EDGE3 1968 2017 -5.84895 -5.06092 -2.67389 0.00612391 0.000819214 -0.112843 +EDGE3 1969 2019 -5.65846 0.00559005 -2.70045 0.000417581 0.00408351 -0.0006966 +EDGE3 1968 2019 -6.08899 5.06229 -2.78422 0.00282868 0.00121901 0.130076 +EDGE3 1969 2018 -5.86343 -5.06675 -2.6634 -0.00217478 0.0044978 -0.121873 +EDGE3 1970 2020 -5.67546 0.0152022 -2.71622 -0.00808119 -0.00293761 0.00241239 +EDGE3 1969 2020 -6.10034 5.03042 -2.77528 0.00139948 0.0018802 0.125519 +EDGE3 1970 2019 -5.88227 -5.06667 -2.66501 0.00243645 -0.0024782 -0.124427 +EDGE3 1971 2021 -5.66792 -0.00371838 -2.70377 -0.00293968 -0.000444173 0.00155232 +EDGE3 1970 2021 -6.09984 5.04601 -2.76069 -0.00472765 0.00851885 0.119881 +EDGE3 1971 2020 -5.8707 -5.05888 -2.64735 -0.0049322 0.00401403 -0.123807 +EDGE3 1972 2022 -5.66352 -0.00179885 -2.70368 0.00346185 -9.73194e-05 -0.00571407 +EDGE3 1971 2022 -6.09477 5.03497 -2.76518 0.00128165 -0.00177571 0.118167 +EDGE3 1972 2021 -5.87806 -5.05371 -2.62816 0.00381303 0.00369958 -0.118824 +EDGE3 1973 2023 -5.67573 -0.0167079 -2.70349 0.00113967 0.00291716 -0.00290714 +EDGE3 1972 2023 -6.11164 5.01021 -2.7475 -0.00477598 -0.00138039 0.12133 +EDGE3 1973 2022 -5.87426 -5.02266 -2.65041 0.00765128 0.00101388 -0.129682 +EDGE3 1974 2024 -5.67797 -0.00440572 -2.68056 0.0069377 0.00706319 -0.00331808 +EDGE3 1973 2024 -6.11386 4.98268 -2.72325 0.00356497 0.00103656 0.134316 +EDGE3 1974 2023 -5.86791 -5.00645 -2.63004 0.00499318 0.00397367 -0.123661 +EDGE3 1975 2025 -5.69194 -0.00939471 -2.66728 -0.00371873 0.00491463 -0.00290824 +EDGE3 1974 2025 -6.10495 4.98567 -2.72957 -0.00874588 0.00174585 0.127264 +EDGE3 1975 2024 -5.87097 -4.97912 -2.62542 0.00586282 0.00449985 -0.122856 +EDGE3 1976 2026 -5.69275 0.00175766 -2.64297 -0.00659111 -0.00304246 -0.00342775 +EDGE3 1975 2026 -6.11354 4.98457 -2.69983 -0.011482 -0.00538869 0.128734 +EDGE3 1976 2025 -5.88145 -4.99451 -2.6125 -0.00802617 -0.000498878 -0.126156 +EDGE3 1977 2027 -5.68552 -0.00259463 -2.65417 -0.000895117 -0.00917468 0.00466201 +EDGE3 1976 2027 -6.10601 4.94769 -2.71653 0.000402919 0.00629842 0.12919 +EDGE3 1977 2026 -5.88762 -4.97776 -2.60792 -0.00789496 0.00442893 -0.127865 +EDGE3 1978 2028 -5.68832 -0.0120616 -2.66402 -0.00253004 0.000279988 0.00390043 +EDGE3 1977 2028 -6.12622 4.93498 -2.71018 0.00480295 0.00156111 0.126563 +EDGE3 1978 2027 -5.87971 -4.97422 -2.60538 -0.00113797 0.00451869 -0.122012 +EDGE3 1979 2029 -5.68937 -0.00483494 -2.65422 0.0019051 0.00022987 0.000628138 +EDGE3 1978 2029 -6.0981 4.92902 -2.71323 0.00349942 -0.00319367 0.122731 +EDGE3 1979 2028 -5.89997 -4.95356 -2.60002 0.00104094 -0.0029203 -0.122893 +EDGE3 1980 2030 -5.70644 0.00981718 -2.63796 -0.000810061 0.000815083 0.00394178 +EDGE3 1979 2030 -6.11012 4.91604 -2.68577 0.000373158 -0.00146418 0.12864 +EDGE3 1980 2029 -5.89608 -4.91491 -2.58249 0.00716838 0.000627993 -0.126979 +EDGE3 1981 2031 -5.70029 0.0103036 -2.61469 -0.00812967 -0.0105987 0.000201646 +EDGE3 1980 2031 -6.12635 4.89014 -2.69433 0.00496996 0.00453455 0.129435 +EDGE3 1981 2030 -5.90683 -4.90595 -2.58374 -0.00883008 0.00295164 -0.128402 +EDGE3 1982 2032 -5.71383 -0.00508804 -2.61098 -0.00172683 -0.00616701 -0.00188828 +EDGE3 1981 2032 -6.12548 4.87477 -2.66559 -0.0019092 -0.0121391 0.123419 +EDGE3 1982 2031 -5.87399 -4.87441 -2.56641 0.000194926 -0.00365293 -0.12622 +EDGE3 1983 2033 -5.70435 -4.68006e-05 -2.61322 -0.00119224 -0.00427238 -0.000459402 +EDGE3 1982 2033 -6.14499 4.86172 -2.69185 0.00258962 0.00167336 0.119678 +EDGE3 1983 2032 -5.88933 -4.87997 -2.57352 0.0136186 -0.00053469 -0.113947 +EDGE3 1984 2034 -5.70866 0.00740743 -2.6169 0.0070403 -0.00740498 -0.00426495 +EDGE3 1983 2034 -6.12992 4.8486 -2.67041 0.000613673 -0.00484777 0.123082 +EDGE3 1984 2033 -5.89246 -4.8649 -2.55875 -0.00150449 -0.000601549 -0.118692 +EDGE3 1985 2035 -5.72381 0.00196836 -2.6104 0.00474132 0.00369973 -0.00928139 +EDGE3 1984 2035 -6.14261 4.82665 -2.65943 -0.00386675 0.000172735 0.117963 +EDGE3 1985 2034 -5.91073 -4.84735 -2.54636 -0.00497801 0.00234227 -0.12809 +EDGE3 1985 2036 -6.11982 4.80201 -2.66184 -0.00324819 0.00863909 0.12945 +EDGE3 1986 2036 -5.72677 0.00382911 -2.59004 0.00980639 0.0010069 0.0089004 +EDGE3 1987 2037 -5.729 0.0125778 -2.60432 -0.00461108 -0.000919019 -0.00405932 +EDGE3 1986 2035 -5.91921 -4.82525 -2.55333 -0.0037187 0.00610245 -0.123571 +EDGE3 1986 2037 -6.14308 4.79213 -2.6394 -0.00708418 0.000286545 0.127403 +EDGE3 1987 2036 -5.90948 -4.81843 -2.53106 -0.00374852 0.0136236 -0.130216 +EDGE3 1988 2038 -5.72723 -0.012184 -2.58184 0.00280776 -0.00303138 0.00678438 +EDGE3 1987 2038 -6.13312 4.7865 -2.65133 -0.00370447 0.000732884 0.125371 +EDGE3 1988 2037 -5.88902 -4.80056 -2.54457 -0.000314103 0.00249991 -0.126326 +EDGE3 1989 2039 -5.71025 -0.00967135 -2.5907 0.00537582 1.53546e-05 -0.00146584 +EDGE3 1988 2039 -6.153 4.76545 -2.65028 0.0117102 0.00144592 0.128812 +EDGE3 1989 2038 -5.8993 -4.80011 -2.5341 0.00288866 0.0063646 -0.119684 +EDGE3 1990 2040 -5.73889 -0.00119034 -2.56429 -0.00109989 -0.00315108 0.00031357 +EDGE3 1989 2040 -6.15324 4.77179 -2.64271 -0.001378 -0.00117353 0.124713 +EDGE3 1990 2039 -5.92804 -4.7756 -2.51318 -0.000644632 0.00395925 -0.125373 +EDGE3 1991 2041 -5.71671 4.96791e-05 -2.56081 -0.00240224 0.00493047 -0.000233993 +EDGE3 1990 2041 -6.13659 4.7519 -2.61667 -0.00117809 -0.00589109 0.124796 +EDGE3 1991 2040 -5.91479 -4.76916 -2.52589 -0.00522813 -1.21103e-05 -0.123421 +EDGE3 1992 2042 -5.741 0.0163824 -2.53424 -0.00332111 0.00513903 -0.00328601 +EDGE3 1991 2042 -6.14323 4.72251 -2.59834 -0.012849 0.00702589 0.1204 +EDGE3 1992 2041 -5.91697 -4.74255 -2.49408 0.00197826 0.00233048 -0.135124 +EDGE3 1993 2043 -5.74865 0.00741669 -2.53799 -0.00231165 -0.00337837 0.00893604 +EDGE3 1992 2043 -6.15616 4.70534 -2.60166 -0.0062415 0.00222547 0.127571 +EDGE3 1993 2042 -5.9251 -4.72891 -2.48772 -0.000202461 0.00309071 -0.127355 +EDGE3 1994 2044 -5.73641 -0.00432517 -2.55032 -0.00244914 -0.00071224 -0.00606833 +EDGE3 1993 2044 -6.14334 4.6887 -2.58314 -0.00048312 0.00916664 0.136056 +EDGE3 1994 2043 -5.93669 -4.72724 -2.49448 -0.00379939 -0.00258039 -0.125835 +EDGE3 1995 2045 -5.76333 -0.00576178 -2.53612 0.0034264 0.00257061 -0.00514583 +EDGE3 1994 2045 -6.17376 4.67516 -2.59567 -0.00447444 0.00525539 0.123384 +EDGE3 1995 2044 -5.91971 -4.69424 -2.47222 -0.00527692 -0.00213859 -0.124652 +EDGE3 1996 2046 -5.75783 0.00566603 -2.5296 0.00286347 -1.47955e-05 -0.00253179 +EDGE3 1995 2046 -6.15345 4.6678 -2.56932 0.00390513 0.00643812 0.131291 +EDGE3 1996 2045 -5.92701 -4.67611 -2.47095 -0.00161134 0.000700915 -0.120453 +EDGE3 1997 2047 -5.74533 0.00651527 -2.52244 -0.00324859 0.00305536 -0.00550445 +EDGE3 1996 2047 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2148 2198 -6.11874 -0.00852451 -1.38781 -0.00247982 0.00334181 -0.0107674 +EDGE3 2147 2198 -6.41417 2.36241 -1.436 0.00198569 -0.00842032 0.122813 +EDGE3 2148 2197 -6.14889 -2.37743 -1.3569 -0.00182153 -0.0016591 -0.122868 +EDGE3 2149 2199 -6.13725 0.00467317 -1.38531 -0.0020732 -0.00170083 0.000104444 +EDGE3 2148 2199 -6.41574 2.36567 -1.40254 -0.00460387 -0.00190647 0.122777 +EDGE3 2149 2198 -6.16 -2.36539 -1.34615 -0.000799026 0.00527669 -0.12699 diff --git a/examples/Pose2SLAMExample.cpp b/examples/Pose2SLAMExample.cpp index 265e323db..8118004af 100644 --- a/examples/Pose2SLAMExample.cpp +++ b/examples/Pose2SLAMExample.cpp @@ -26,7 +26,7 @@ using namespace gtsam; int main(int argc, char** argv) { // 1. Create graph container and add factors to it - pose2SLAM::Graph graph ; + pose2SLAM::Graph graph; // 2a. Add Gaussian prior Pose2 priorMean(0.0, 0.0, 0.0); // prior at origin @@ -35,25 +35,25 @@ int main(int argc, char** argv) { // 2b. Add odometry factors SharedDiagonal odometryNoise(Vector_(3, 0.2, 0.2, 0.1)); - graph.addOdometry(1, 2, Pose2(2.0, 0.0, 0.0 ), odometryNoise); + graph.addOdometry(1, 2, Pose2(2.0, 0.0, 0.0), odometryNoise); graph.addOdometry(2, 3, Pose2(2.0, 0.0, M_PI_2), odometryNoise); graph.addOdometry(3, 4, Pose2(2.0, 0.0, M_PI_2), odometryNoise); graph.addOdometry(4, 5, Pose2(2.0, 0.0, M_PI_2), odometryNoise); // 2c. Add pose constraint - SharedDiagonal constraintUncertainty(Vector_(3, 0.2, 0.2, 0.1)); - graph.addConstraint(5, 2, Pose2(2.0, 0.0, M_PI_2), constraintUncertainty); + SharedDiagonal model(Vector_(3, 0.2, 0.2, 0.1)); + graph.addConstraint(5, 2, Pose2(2.0, 0.0, M_PI_2), model); // print graph.print("\nFactor graph:\n"); - // 3. Create the data structure to hold the initialEstimate estimate to the solution + // 3. Create the data structure to hold the initialEstimate estimate to the solution pose2SLAM::Values initialEstimate; - Pose2 x1(0.5, 0.0, 0.2 ); initialEstimate.insertPose(1, x1); - Pose2 x2(2.3, 0.1,-0.2 ); initialEstimate.insertPose(2, x2); - Pose2 x3(4.1, 0.1, M_PI_2); initialEstimate.insertPose(3, x3); - Pose2 x4(4.0, 2.0, M_PI ); initialEstimate.insertPose(4, x4); - Pose2 x5(2.1, 2.1,-M_PI_2); initialEstimate.insertPose(5, x5); + initialEstimate.insertPose(1, Pose2(0.5, 0.0, 0.2)); + initialEstimate.insertPose(2, Pose2(2.3, 0.1, -0.2)); + initialEstimate.insertPose(3, Pose2(4.1, 0.1, M_PI_2)); + initialEstimate.insertPose(4, Pose2(4.0, 2.0, M_PI)); + initialEstimate.insertPose(5, Pose2(2.1, 2.1, -M_PI_2)); initialEstimate.print("\nInitial estimate:\n"); // 4. Single Step Optimization using Levenberg-Marquardt diff --git a/examples/matlab/Pose2SLAMExample.m b/examples/matlab/Pose2SLAMExample.m index 41d4c0708..5641d2ac3 100644 --- a/examples/matlab/Pose2SLAMExample.m +++ b/examples/matlab/Pose2SLAMExample.m @@ -36,19 +36,19 @@ graph.addOdometry(3, 4, gtsamPose2(2.0, 0.0, pi/2), odometryNoise); graph.addOdometry(4, 5, gtsamPose2(2.0, 0.0, pi/2), odometryNoise); %% Add pose constraint -constraintUncertainty = gtsamSharedNoiseModel_Sigmas([0.2; 0.2; 0.1]); -graph.addConstraint(5, 2, gtsamPose2(2.0, 0.0, pi/2), constraintUncertainty); +model = gtsamSharedNoiseModel_Sigmas([0.2; 0.2; 0.1]); +graph.addConstraint(5, 2, gtsamPose2(2.0, 0.0, pi/2), model); % print graph.print(sprintf('\nFactor graph:\n')); %% Initialize to noisy points initialEstimate = pose2SLAMValues; -x1 = gtsamPose2(0.5, 0.0, 0.2 ); initialEstimate.insertPose(1, x1); -x2 = gtsamPose2(2.3, 0.1,-0.2 ); initialEstimate.insertPose(2, x2); -x3 = gtsamPose2(4.1, 0.1, pi/2); initialEstimate.insertPose(3, x3); -x4 = gtsamPose2(4.0, 2.0, pi ); initialEstimate.insertPose(4, x4); -x5 = gtsamPose2(2.1, 2.1,-pi/2); initialEstimate.insertPose(5, x5); +initialEstimate.insertPose(1, gtsamPose2(0.5, 0.0, 0.2 )); +initialEstimate.insertPose(2, gtsamPose2(2.3, 0.1,-0.2 )); +initialEstimate.insertPose(3, gtsamPose2(4.1, 0.1, pi/2)); +initialEstimate.insertPose(4, gtsamPose2(4.0, 2.0, pi )); +initialEstimate.insertPose(5, gtsamPose2(2.1, 2.1,-pi/2)); initialEstimate.print(sprintf('\nInitial estimate:\n')); %% Optimize using Levenberg-Marquardt optimization with an ordering from colamd diff --git a/examples/matlab/Pose2SLAMExample_circle.m b/examples/matlab/Pose2SLAMExample_circle.m new file mode 100644 index 000000000..7e7ab6694 --- /dev/null +++ b/examples/matlab/Pose2SLAMExample_circle.m @@ -0,0 +1,48 @@ +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% GTSAM Copyright 2010, Georgia Tech Research Corporation, +% Atlanta, Georgia 30332-0415 +% All Rights Reserved +% Authors: Frank Dellaert, et al. (see THANKS for the full author list) +% +% See LICENSE for the license information +% +% @brief Read graph from file and perform GraphSLAM +% @author Frank Dellaert +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +%% Create a hexagon of poses +hexagon = pose2SLAMValues_Circle(6,1.0); +p0 = hexagon.pose(0); +p1 = hexagon.pose(1); + +%% create a Pose graph with one equality constraint and one measurement +fg = pose2SLAMGraph; +fg.addPoseConstraint(0, p0); +delta = p0.between(p1); +covariance = gtsamSharedNoiseModel_Sigmas([0.05; 0.05; 5*pi/180]); +fg.addOdometry(0,1, delta, covariance); +fg.addOdometry(1,2, delta, covariance); +fg.addOdometry(2,3, delta, covariance); +fg.addOdometry(3,4, delta, covariance); +fg.addOdometry(4,5, delta, covariance); +fg.addOdometry(5,0, delta, covariance); + +%% Create initial config +initial = pose2SLAMValues; +initial.insertPose(0, p0); +initial.insertPose(1, hexagon.pose(1).retract([-0.1, 0.1,-0.1]')); +initial.insertPose(2, hexagon.pose(2).retract([ 0.1,-0.1, 0.1]')); +initial.insertPose(3, hexagon.pose(3).retract([-0.1, 0.1,-0.1]')); +initial.insertPose(4, hexagon.pose(4).retract([ 0.1,-0.1, 0.1]')); +initial.insertPose(5, hexagon.pose(5).retract([-0.1, 0.1,-0.1]')); + +%% Plot Initial Estimate +figure(1);clf +plot(initial.xs(),initial.ys(),'g-*'); axis equal + +%% optimize +result = fg.optimize(initial); + +%% Show Result +hold on; plot(result.xs(),result.ys(),'b-*') +result.print(sprintf('\nFinal result:\n')); diff --git a/examples/matlab/Pose3SLAMExample_circle.m b/examples/matlab/Pose3SLAMExample_circle.m new file mode 100644 index 000000000..d1676626c --- /dev/null +++ b/examples/matlab/Pose3SLAMExample_circle.m @@ -0,0 +1,49 @@ +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% GTSAM Copyright 2010, Georgia Tech Research Corporation, +% Atlanta, Georgia 30332-0415 +% All Rights Reserved +% Authors: Frank Dellaert, et al. (see THANKS for the full author list) +% +% See LICENSE for the license information +% +% @brief Read graph from file and perform GraphSLAM +% @author Frank Dellaert +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +%% Create a hexagon of poses +hexagon = pose3SLAMValues_Circle(6,1.0); +p0 = hexagon.pose(0); +p1 = hexagon.pose(1); + +%% create a Pose graph with one equality constraint and one measurement +fg = pose3SLAMGraph; +fg.addHardConstraint(0, p0); +delta = p0.between(p1); +covariance = gtsamSharedNoiseModel_Sigmas([0.05; 0.05; 0.05; 5*pi/180; 5*pi/180; 5*pi/180]); +fg.addConstraint(0,1, delta, covariance); +fg.addConstraint(1,2, delta, covariance); +fg.addConstraint(2,3, delta, covariance); +fg.addConstraint(3,4, delta, covariance); +fg.addConstraint(4,5, delta, covariance); +fg.addConstraint(5,0, delta, covariance); + +%% Create initial config +initial = pose3SLAMValues; +s = 0.10; +initial.insertPose(0, p0); +initial.insertPose(1, hexagon.pose(1).retract(s*randn(6,1))); +initial.insertPose(2, hexagon.pose(2).retract(s*randn(6,1))); +initial.insertPose(3, hexagon.pose(3).retract(s*randn(6,1))); +initial.insertPose(4, hexagon.pose(4).retract(s*randn(6,1))); +initial.insertPose(5, hexagon.pose(5).retract(s*randn(6,1))); + +%% Plot Initial Estimate +figure(1);clf +plot3(initial.xs(),initial.ys(),initial.zs(),'g-*'); axis equal + +%% optimize +result = fg.optimize(initial); + +%% Show Result +hold on; plot3(result.xs(),result.ys(),result.zs(),'b-*') +result.print(sprintf('\nFinal result:\n')); diff --git a/examples/matlab/Pose3SLAMExample_graph.m b/examples/matlab/Pose3SLAMExample_graph.m new file mode 100644 index 000000000..a42484484 --- /dev/null +++ b/examples/matlab/Pose3SLAMExample_graph.m @@ -0,0 +1,28 @@ +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% GTSAM Copyright 2010, Georgia Tech Research Corporation, +% Atlanta, Georgia 30332-0415 +% All Rights Reserved +% Authors: Frank Dellaert, et al. (see THANKS for the full author list) +% +% See LICENSE for the license information +% +% @brief Read graph from file and perform GraphSLAM +% @author Frank Dellaert +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +%% Initialize graph, initial estimate, and odometry noise +model = gtsamSharedNoiseModel_Sigmas([0.05; 0.05; 0.05; 5*pi/180; 5*pi/180; 5*pi/180]); +[graph,initial]=load3D('../Data/sphere_smallnoise.graph',model,100); + +%% Fix first pose +first = initial.pose(0); +graph.addHardConstraint(0, first); % add directly to graph + +%% Plot Initial Estimate +figure(1);clf +plot3(initial.xs(),initial.ys(),initial.zs(),'g-'); hold on +plot3(first.x(),first.y(),first.z(),'r*'); + +%% Optimize using Levenberg-Marquardt optimization with an ordering from colamd +result = graph.optimize(initial); +hold on; plot3(result.xs(),result.ys(),result.zs(),'b-');axis equal; \ No newline at end of file diff --git a/examples/matlab/load3D.m b/examples/matlab/load3D.m new file mode 100644 index 000000000..0ed6ecd61 --- /dev/null +++ b/examples/matlab/load3D.m @@ -0,0 +1,38 @@ +function [graph,initial] = load3D(filename,model,N) +% load3D: read TORO 3D pose graph +% cannot read noise model from file yet, uses specified model +fid = fopen(filename); +if fid < 0 + error(['load2D: Cannot open file ' filename]); +end + +% scan all lines into a cell array +columns=textscan(fid,'%s','delimiter','\n'); +fclose(fid); +lines=columns{1}; + +% loop over lines and add vertices +graph = pose3SLAMGraph; +initial = pose3SLAMValues; +n=size(lines,1); +if nargin<3, N=n;end + +for i=1:n + line_i=lines{i}; + if strcmp('VERTEX3',line_i(1:7)) + v = textscan(line_i,'%s %d %f %f %f %f %f %f',1); + if v{2} +namespace pose3SLAM { + +class Values { + Values(); + size_t size() const; + void print(string s) const; + static pose3SLAM::Values Circle(size_t n, double R); + void insertPose(size_t key, const gtsam::Pose3& pose); + gtsam::Pose3 pose(size_t i); + Vector xs() const; + Vector ys() const; + Vector zs() const; +}; + +class Graph { + Graph(); + + // FactorGraph + void print(string s) const; + bool equals(const pose3SLAM::Graph& fg, double tol) const; + size_t size() const; + bool empty() const; + void remove(size_t i); + size_t nrFactors() const; + + // NonlinearFactorGraph + double error(const pose3SLAM::Values& values) const; + double probPrime(const pose3SLAM::Values& values) const; + gtsam::Ordering* orderingCOLAMD(const pose3SLAM::Values& values) const; + gtsam::GaussianFactorGraph* linearize(const pose3SLAM::Values& values, + const gtsam::Ordering& ordering) const; + + // pose3SLAM-specific + void addPrior(size_t key, const gtsam::Pose3& p, const gtsam::SharedNoiseModel& model); + void addConstraint(size_t key1, size_t key2, const gtsam::Pose3& z, const gtsam::SharedNoiseModel& model); + void addHardConstraint(size_t i, const gtsam::Pose3& p); + pose3SLAM::Values optimize(const pose3SLAM::Values& initialEstimate) const; + gtsam::Marginals marginals(const pose3SLAM::Values& solution) const; +}; + +}///\namespace pose3SLAM + //************************************************************************* // planarSLAM //************************************************************************* @@ -488,9 +542,10 @@ namespace planarSLAM { class Values { Values(); + size_t size() const; + void print(string s) const; void insertPose(size_t key, const gtsam::Pose2& pose); void insertPoint(size_t key, const gtsam::Point2& point); - void print(string s) const; gtsam::Pose2 pose(size_t key) const; gtsam::Point2 point(size_t key) const; }; @@ -498,25 +553,30 @@ class Values { class Graph { Graph(); + // FactorGraph void print(string s) const; + bool equals(const planarSLAM::Graph& fg, double tol) const; + size_t size() const; + bool empty() const; + void remove(size_t i); + size_t nrFactors() const; + // NonlinearFactorGraph double error(const planarSLAM::Values& values) const; + double probPrime(const planarSLAM::Values& values) const; gtsam::Ordering* orderingCOLAMD(const planarSLAM::Values& values) const; gtsam::GaussianFactorGraph* linearize(const planarSLAM::Values& values, const gtsam::Ordering& ordering) const; - void addPrior(size_t key, const gtsam::Pose2& pose, - const gtsam::SharedNoiseModel& noiseModel); + // planarSLAM-specific + void addPrior(size_t key, const gtsam::Pose2& pose, const gtsam::SharedNoiseModel& noiseModel); void addPoseConstraint(size_t key, const gtsam::Pose2& pose); - void addOdometry(size_t key1, size_t key2, const gtsam::Pose2& odometry, - const gtsam::SharedNoiseModel& noiseModel); - void addBearing(size_t poseKey, size_t pointKey, const gtsam::Rot2& bearing, - const gtsam::SharedNoiseModel& noiseModel); - void addRange(size_t poseKey, size_t pointKey, double range, - const gtsam::SharedNoiseModel& noiseModel); - void addBearingRange(size_t poseKey, size_t pointKey, const gtsam::Rot2& bearing, - double range, const gtsam::SharedNoiseModel& noiseModel); + void addOdometry(size_t key1, size_t key2, const gtsam::Pose2& odometry, const gtsam::SharedNoiseModel& noiseModel); + void addBearing(size_t poseKey, size_t pointKey, const gtsam::Rot2& bearing, const gtsam::SharedNoiseModel& noiseModel); + void addRange(size_t poseKey, size_t pointKey, double range, const gtsam::SharedNoiseModel& noiseModel); + void addBearingRange(size_t poseKey, size_t pointKey, const gtsam::Rot2& bearing,double range, const gtsam::SharedNoiseModel& noiseModel); planarSLAM::Values optimize(const planarSLAM::Values& initialEstimate); + gtsam::Marginals marginals(const planarSLAM::Values& solution) const; }; class Odometry { diff --git a/gtsam/slam/planarSLAM.h b/gtsam/slam/planarSLAM.h index f45c3bc86..5d03cd646 100644 --- a/gtsam/slam/planarSLAM.h +++ b/gtsam/slam/planarSLAM.h @@ -24,8 +24,13 @@ #include #include #include +#include #include +/** + * @defgroup SLAM + */ + // Use planarSLAM namespace for specific SLAM instance namespace planarSLAM { @@ -48,9 +53,9 @@ namespace planarSLAM { /// A factor between a pose and a point to express difference in rotation and location typedef BearingRangeFactor BearingRange; - /** - * Values class, using specific poses and points - * Mainly as a convenience for MATLAB wrapper, which does not allow for identically named methods + /* + * Values class, inherited from Values, mainly used as a convenience for MATLAB wrapper + * @ingroup SLAM */ struct Values: public gtsam::Values { @@ -75,7 +80,10 @@ namespace planarSLAM { void insertPoint(Key j, const Point2& point) { insert(j, point); } }; - /// Creates a NonlinearFactorGraph with the Values type + /** + * Graph class, inherited from NonlinearFactorGraph, used as a convenience for MATLAB wrapper + * @ingroup SLAM + */ struct Graph: public NonlinearFactorGraph { /// Default constructor for a NonlinearFactorGraph @@ -104,6 +112,11 @@ namespace planarSLAM { /// Optimize Values optimize(const Values& initialEstimate) const; + + /// Return a Marginals object + Marginals marginals(const Values& solution) const { + return Marginals(*this,solution); + } }; } // planarSLAM diff --git a/gtsam/slam/pose2SLAM.cpp b/gtsam/slam/pose2SLAM.cpp index a1e5932d9..49ab37111 100644 --- a/gtsam/slam/pose2SLAM.cpp +++ b/gtsam/slam/pose2SLAM.cpp @@ -23,7 +23,7 @@ namespace pose2SLAM { /* ************************************************************************* */ - Values circle(size_t n, double R) { + Values Values::Circle(size_t n, double R) { Values x; double theta = 0, dtheta = 2 * M_PI / n; for (size_t i = 0; i < n; i++, theta += dtheta) diff --git a/gtsam/slam/pose2SLAM.h b/gtsam/slam/pose2SLAM.h index 5668f8ad0..d7ebd3323 100644 --- a/gtsam/slam/pose2SLAM.h +++ b/gtsam/slam/pose2SLAM.h @@ -30,7 +30,10 @@ namespace pose2SLAM { using namespace gtsam; - /// Values class, inherited from Values, mainly used as a convenience for MATLAB wrapper + /* + * Values class, inherited from Values, mainly used as a convenience for MATLAB wrapper + * @ingroup SLAM + */ struct Values: public gtsam::Values { typedef boost::shared_ptr shared_ptr; @@ -43,6 +46,15 @@ namespace pose2SLAM { gtsam::Values(values) { } + /** + * Create a circle of n 2D poses tangent to circle of radius R, first pose at (R,0) + * @param n number of poses + * @param R radius of circle + * @param c character to use for keys + * @return circle of n 2D poses + */ + static Values Circle(size_t n, double R); + /// insert a pose void insertPose(Key i, const Pose2& pose) { insert(i, pose); } @@ -54,15 +66,6 @@ namespace pose2SLAM { Vector thetas() const; ///< get all orientations in a matrix }; - /** - * Create a circle of n 2D poses tangent to circle of radius R, first pose at (R,0) - * @param n number of poses - * @param R radius of circle - * @param c character to use for keys - * @return circle of n 2D poses - */ - Values circle(size_t n, double R); - /** * List of typedefs for factors */ @@ -74,7 +77,10 @@ namespace pose2SLAM { /// A factor to add an odometry measurement between two poses. typedef BetweenFactor Odometry; - /// Graph + /** + * Graph class, inherited from NonlinearFactorGraph, used as a convenience for MATLAB wrapper + * @ingroup SLAM + */ struct Graph: public NonlinearFactorGraph { typedef boost::shared_ptr shared_ptr; diff --git a/gtsam/slam/pose3SLAM.cpp b/gtsam/slam/pose3SLAM.cpp index ffce28fe7..c7f8a29c5 100644 --- a/gtsam/slam/pose3SLAM.cpp +++ b/gtsam/slam/pose3SLAM.cpp @@ -22,7 +22,7 @@ namespace pose3SLAM { /* ************************************************************************* */ - Values circle(size_t n, double radius) { + Values Values::Circle(size_t n, double radius) { Values x; double theta = 0, dtheta = 2 * M_PI / n; // We use aerospace/navlab convention, X forward, Y right, Z down @@ -41,6 +41,36 @@ namespace pose3SLAM { return x; } + /* ************************************************************************* */ + Vector Values::xs() const { + size_t j=0; + Vector result(size()); + ConstFiltered poses = filter(); + BOOST_FOREACH(const ConstFiltered::KeyValuePair& keyValue, poses) + result(j++) = keyValue.value.x(); + return result; + } + + /* ************************************************************************* */ + Vector Values::ys() const { + size_t j=0; + Vector result(size()); + ConstFiltered poses = filter(); + BOOST_FOREACH(const ConstFiltered::KeyValuePair& keyValue, poses) + result(j++) = keyValue.value.y(); + return result; + } + + /* ************************************************************************* */ + Vector Values::zs() const { + size_t j=0; + Vector result(size()); + ConstFiltered poses = filter(); + BOOST_FOREACH(const ConstFiltered::KeyValuePair& keyValue, poses) + result(j++) = keyValue.value.z(); + return result; + } + /* ************************************************************************* */ void Graph::addPrior(Key i, const Pose3& p, const SharedNoiseModel& model) { sharedFactor factor(new Prior(i, p, model)); diff --git a/gtsam/slam/pose3SLAM.h b/gtsam/slam/pose3SLAM.h index f81070818..448914f0d 100644 --- a/gtsam/slam/pose3SLAM.h +++ b/gtsam/slam/pose3SLAM.h @@ -17,25 +17,53 @@ #pragma once -#include #include #include #include #include #include +#include +#include /// Use pose3SLAM namespace for specific SLAM instance namespace pose3SLAM { using namespace gtsam; - /** - * Create a circle of n 3D poses tangent to circle of radius R, first pose at (R,0) - * @param n number of poses - * @param R radius of circle - * @return circle of n 3D poses + /* + * Values class, inherited from Values, mainly used as a convenience for MATLAB wrapper + * @ingroup SLAM */ - Values circle(size_t n, double R); + struct Values: public gtsam::Values { + + typedef boost::shared_ptr shared_ptr; + + /// Default constructor + Values() {} + + /// Copy constructor + Values(const gtsam::Values& values) : + gtsam::Values(values) { + } + + /** + * Create a circle of n 3D poses tangent to circle of radius R, first pose at (R,0) + * @param n number of poses + * @param R radius of circle + * @return circle of n 3D poses + */ + static Values Circle(size_t n, double R); + + /// insert a pose + void insertPose(Key i, const Pose3& pose) { insert(i, pose); } + + /// get a pose + Pose3 pose(Key i) const { return at(i); } + + Vector xs() const; ///< get all x coordinates in a matrix + Vector ys() const; ///< get all y coordinates in a matrix + Vector zs() const; ///< get all z coordinates in a matrix + }; /// A prior factor on Key with Pose3 data type. typedef PriorFactor Prior; @@ -44,7 +72,10 @@ namespace pose3SLAM { /// A hard constraint would enforce that the given key would have the input value in the results. typedef NonlinearEquality HardConstraint; - /// Graph + /** + * Graph class, inherited from NonlinearFactorGraph, used as a convenience for MATLAB wrapper + * @ingroup SLAM + */ struct Graph: public NonlinearFactorGraph { /// Adds a factor between keys of the same type @@ -61,6 +92,10 @@ namespace pose3SLAM { return LevenbergMarquardtOptimizer(*this, initialEstimate).optimize(); } + /// Return a Marginals object + Marginals marginals(const Values& solution) const { + return Marginals(*this,solution); + } }; } // pose3SLAM diff --git a/gtsam/slam/tests/testPose2SLAM.cpp b/gtsam/slam/tests/testPose2SLAM.cpp index 7f329f1cb..55558b106 100644 --- a/gtsam/slam/tests/testPose2SLAM.cpp +++ b/gtsam/slam/tests/testPose2SLAM.cpp @@ -195,7 +195,7 @@ TEST_UNSAFE(Pose2SLAM, optimize) { TEST_UNSAFE(Pose2SLAM, optimizeThreePoses) { // Create a hexagon of poses - pose2SLAM::Values hexagon = pose2SLAM::circle(3,1.0); + pose2SLAM::Values hexagon = pose2SLAM::Values::Circle(3,1.0); Pose2 p0 = hexagon.pose(0), p1 = hexagon.pose(1); // create a Pose graph with one equality constraint and one measurement @@ -231,7 +231,7 @@ TEST_UNSAFE(Pose2SLAM, optimizeThreePoses) { TEST_UNSAFE(Pose2SLAM, optimizeCircle) { // Create a hexagon of poses - pose2SLAM::Values hexagon = pose2SLAM::circle(6,1.0); + pose2SLAM::Values hexagon = pose2SLAM::Values::Circle(6,1.0); Pose2 p0 = hexagon.pose(0), p1 = hexagon.pose(1); // create a Pose graph with one equality constraint and one measurement @@ -366,7 +366,7 @@ TEST_UNSAFE(Pose2Values, pose2Circle ) expected.insert(2, Pose2(-1, 0, - M_PI_2)); expected.insert(3, Pose2( 0, -1, 0 )); - pose2SLAM::Values actual = pose2SLAM::circle(4,1.0); + pose2SLAM::Values actual = pose2SLAM::Values::Circle(4,1.0); CHECK(assert_equal(expected,actual)); } @@ -381,7 +381,7 @@ TEST_UNSAFE(Pose2SLAM, expmap ) expected.insert(3, Pose2( 0.1, -1, 0 )); // Note expmap coordinates are in local coordinates, so shifting to right requires thought !!! - pose2SLAM::Values circle(pose2SLAM::circle(4,1.0)); + pose2SLAM::Values circle = pose2SLAM::Values::Circle(4,1.0); Ordering ordering(*circle.orderingArbitrary()); VectorValues delta(circle.dims(ordering)); delta[ordering[0]] = Vector_(3, 0.0,-0.1,0.0); diff --git a/gtsam/slam/tests/testPose3SLAM.cpp b/gtsam/slam/tests/testPose3SLAM.cpp index 4ebe7d27f..46a1c35c5 100644 --- a/gtsam/slam/tests/testPose3SLAM.cpp +++ b/gtsam/slam/tests/testPose3SLAM.cpp @@ -43,7 +43,7 @@ TEST(Pose3Graph, optimizeCircle) { // Create a hexagon of poses double radius = 10; - Values hexagon = pose3SLAM::circle(6,radius); + Values hexagon = pose3SLAM::Values::Circle(6,radius); Pose3 gT0 = hexagon.at(0), gT1 = hexagon.at(1); // create a Pose graph with one equality constraint and one measurement @@ -179,7 +179,7 @@ TEST( Values, pose3Circle ) expected.insert(2, Pose3(R3, Point3(-1, 0, 0))); expected.insert(3, Pose3(R4, Point3( 0,-1, 0))); - Values actual = pose3SLAM::circle(4,1.0); + Values actual = pose3SLAM::Values::Circle(4,1.0); CHECK(assert_equal(expected,actual)); } @@ -199,7 +199,7 @@ TEST( Values, expmap ) 0.0,0.0,0.0, 0.1, 0.0, 0.0, 0.0,0.0,0.0, 0.1, 0.0, 0.0, 0.0,0.0,0.0, 0.1, 0.0, 0.0); - Values actual = pose3SLAM::circle(4,1.0).retract(delta, ordering); + Values actual = pose3SLAM::Values::Circle(4,1.0).retract(delta, ordering); CHECK(assert_equal(expected,actual)); }